If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.
P(A) + P'(A) = 1
The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.
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Use the graph to determine
A) The function’s domain
B) The function’s range
C) The X-intercepts
D) Y-intercepts
E) The missing function values indicated by question marks below
Answer:its C
Step-by-step explanation:
they x will intercept when you do it right
the perimeter of a rectangle is 260cm the length is 50 less than its width. find its dimensions
The dimensions of the rectangle is found as: (b = 90 cm) and (l = 40 cm
).
What is defined as the perimeter of the rectangle?The perimeter (P) of such a rectangle has been the total length of all of its sides. A rectangle does have two equal lengths as well as two equal widths because its opposite sides are equal. The perimeter of a rectangle is calculated as follows: perimeter = length + length + width + widthLet 'l' be the length of the rectangle.
Let 'b' be the width of the rectangle.
then,
Perimeter = 2(l + b)
The given value of the perimeter = 260 cm.
The length is 50 less than the width.
Thus, l = b - 50.
Put the values in the formula;
260 = 2( b - 50 + b)
Simplify the equation;
260 = 4b - 100
4b = 360
b = 90 cm
Put the value of b in the length;
l = b - 50
l = 90 - 50
l = 40 cm
The dimension are estimated as; (l = 40 cm) and (b = 90 cm).
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Rewrite 8x8x8 using exponents.
Answer:
8^3
Step-by-step explanation:
there are three 8s soo all u do is count the number and then how many of that same number you can put into an exponent
Find the solution to the system: -5/7-11/7x=-y and 7+5x=2y
The solution to the system of equation is x = 1 / 5 and y = 4
How to solve system of equation?The system of equation can be solved as follows:
- 5 / 7 - 11 / 7 x = - y
7 + 5x = 2y
let's rearrange the equations
Therefore,
- 11 / 7 x + y = 5 / 7
5x - 2y = -7
Let's multiply equation(i) by 7 to eliminate the fractions
Hence,
-11x + 7y = 5
5x - 2y = -7
Therefore, using substitution method
5x = -7 + 2y
x = -7 / 5 + 2 / 5 y
Hence,
-11(-7 / 5 + 2 / 5 y) + 7y = 5
77 / 5 - 22 / 5 y + 7y = 5
- 22 / 5 y + 7y = 5 - 77 / 5
-22y + 35y / 5 = 25 - 77 / 5
13y / 5 = -52 / 5
cross multiply
65y = -260
y = -260 / 65
y = 4
Hence,
5x - 2(4) = -7
5x - 8 = -7
5x = -7 + 8
x = 1 / 5
Therefore, the solution to the system of equation is x = 1 / 5 and y = 4
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What is the slope of the line that passes through the points (-4,5) and (-7,8) ? write your answer in the simplest form
Answer:
[tex]\frac{-3}{3}[/tex]
Step-by-step explanation:
So we going to put them in the Rise Over Run fomula which is [tex]\frac{5-8}{-4-(-7)}[/tex] and we simplifying this which give us [tex]\frac{-3}{3}[/tex]
Apply the rule for negative exponents to select the equivalent expression. 8-1 08 8X -8
The equivalent expression of 8^-1 is 1/8
How to apply the rule for negative exponents?The expression is given as
8^-1
The above represents 8 exponent -1
The rule for negative exponents states that
a^-1 = 1/a
This means that
8^-1 = 1/8
Hence, the equivalent expression of 8^-1 is 1/8
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Uber charges $3 plus $0.75 per mile driven. lyft charges $5.00 plus $.50 per mile driven. write the equations for both companies
The linear equation for both Uber and Lyft will be Y = 0.75x + 3 and
Y = 0.5x + 5 .
A linear equation is an algebraic equation of the form y = mx+b. Involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
Here we have,
Uber charge $3 fix on every trip and additional charges on per mile $0.75
So, linear equation be
Y = 0.75x + 3 where, x = no. of mile covered
Similarly, lyft charge $5 fix and $0.5 as an additional
So, linear equation be
Y = 0.5x + 5 where, x = no. of mile covered
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What is the domain of the graph?
Please I need help it’s due tomorrow
4. The temperature in California was 80 degrees on Thursday. The temperature in the North Pole was -100. What is the
difference between the two temperatures?
Answer:
180 degrees
Step-by-step explanation:
-100 + 180 = 80
help
show that x - y = 90°
y - x = 90° is represents a circle's circumference.
What is meant by a circle's circumference?
The distance along a circle's perimeter is referred to as its circumference. In other words, the circumference of a circle is equal to the length of a straight line formed by opening up the circle.
connect O and B
∵ OB = OD
∴ ∠ OBD = ∠ODB = x°
∴ ∠BOD = 180° - 2x°
∵ ∠BAD = y°
∴ ∠C = 180° - y°
∠BOD = 2∠C
180° - 2x° = 2 ( 180 - y° )
180° - 2x° = 360 - 2y°
2y - 2x = 180°
y - x = 90°
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Quinten has a secret. On the first day of school, he tells his closest friend. On the second day, they each tell the
secret to someone else. Each person that hears the secret shares the secret with a new person each day.
a. How many people will know the secret on the 4th day of school?
On the 4th day of the school, the secret Quinten shared with his closest friend will be known to 16 persons.
What is Geometric progression?
A sequence in which the ratio of any term and its previous term is equal to a fixed constant called common ratio [r] is called geometric progression. For example -
3, 6, 12, 24, ... and so on.
Given that Quinten shares a secret with his friend and each person that hears the secret shares the secret with a new person each day.
On the first day only 2 people know the secret i.e. Quinten and his close friend. Now, they both will tell one new person on second day, which means that by the end of second day four persons will know the secret. Now, these four persons will share with new individual, this gives us a total of 8 persons, who knows the secret by the end of day three and so on.
Now, we get the following sequence -
2, 4, 8, ...... and on.
Now, we can clearly see that -
4/2 = 8/4 = 2
Therefore, this sequence is a geometric progression with common ratio
r = 2.
Assume the 4th term of GP is x. Therefore -
x/8 = 2
x = 16
Therefore, on the 4th day of the school, the secret Quinten shared with his closest friend will be known to 16 persons.
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point c has a weight of 3, and point E has a weight of 5
need help with number 3 as well please
Using the weighted mean, the coordinates of P when point c has a weight of 3, and point E has a weight of 5 is of P = -1.77.
What is the weighted mean?The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.
For this problem, the points and weights are given as follows:
D = 2 has a weight of 3.B = -6 has a weight of 9.A = -9 has a weight of 2.C = -1 has a weight of 3.E = 6 has a weight of 5.Hence the weighted mean is given as follows:
P = (2 x 3 - 6 x 9 - 9 x 2 -1 x 3 + 6 x 5)/(3 + 9 + 2 + 3 + 5) = -1.77.
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highest number impossible to make using 5,7
Answer:
Step-by-step explanation:
completa la tabla sobre o debajo segun corresponda
A) el 24 por ciento de los valores queda por _________ del P25
b) el 25 por ciento de los valores queda por __________ del Q3
complete the table above or below as appropriate of segun corresponda.
Spanish 22% English 25% Periodism 18% Physical Education 17% Biology 18%
1. Thirty-five percent of students studied science; hence, 35 (35 = thirty-and-five) = thirty-and-five.
2. One-hundred and thirty-three percent of students studied English or periodical studies — 25+18 = 43 (forty-three = one hundred and thirty-three).
3. One-sixty-five percent of students did not study science — 22+25+18 = 65 (sixty-five = one-sixty-five)
4. Eighty two percent of students did not study biology — 17 + 22 + 25 + 18 = 82 (eighty two Equals eighteen and two).
5. One-quarter and seven percent of students studied either English or Spanish — 25+22 = 47 (quarter and seven = 47).
6. One hundred and three percent of students — 17+18+18 = 53 (one hundred and thirty equals five) — did not study languages.
y tres)
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use the diagram to find bc. (help please!!)
Answer:6
Step-by-step explanation:
The length of ac is 20 and the length of ab is 14 so all you have to do is 20-14=6
Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other. Joy walked 14 steps forward, and Shaunte walked 5 steps backwards. Which expression correctly represents the distance between the friends? 14 + |−5| = 19 steps 14 + 5 = 19 steps |−14| + |−5| = 19 steps |−14| + 5 = 19 steps
The number expression will be 14 + |-5| = 19 if Joy walked 14 steps forward, and Shaunte walked 5 steps backward option (A) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other.
Joy walked 14 steps forward, and Shaunte walked 5 steps backward.
Let forward direction be the positive
The backward direction is negative.
The number expression can be represented;
The distance between two friends:
14 + |-5| = 14 + 5 = 19
14 + |-5| = 19
Thus, the number expression will be 14 + |-5| = 19 if Joy walked 14 steps forward, and Shaunte walked 5 steps backward.
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A model train is on a track 100 cm from its starting point. turning a switch displaces the train either forward or backward 25 cm along the track depending on which way the switch is turned. which equation models the position of the train along the track after you turn the switch?
The equation which models the position of the train along the track can be given as |x − 100| = 25.
One-variable linear equation is defined as the equation which can be written in the form of ax+b = 0, where a and b are two integers, and x is a variable. One-variable linear equation has only one solution. For example, the linear equation 4x+2=14 only has one variable and only one solution.
The location of the train is given by the value of x. Therefore, if x was equal to the value 85, it would be at the position 85 on the number line.
The distance between x and distance of track that is 100 is given as |x-100|. The distance can never be negative, so we take the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.
Therefore, the equation which models the position of the train along the track is represented by |x − 100| = 25.
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Evaluate the expression.
10+(9×6)+(9×1)
Answer:
73
Step-by-step explanation:
10+(9×6)+(9×1)
10+54+9
=73
in a right trinagle the length of a hypotenuse is 20 inches long and the length of one length is 15 inches
Length of the other leg is 13.23 inches.
Pythagoras theorem states that the square of the length of hypotenuse is equal to sum of the squares of other two legs.Hence if L is the length of the other leg in inches, then20^2=5^2+l^2
or
400=225+L^2
or
L^2=400−225=175
Hence L=√175=13.23
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If the total number of books checked out of the library at your high school is 14,400 and the student population is about 2400. how many books on average does each student have?
Each student on average has 6 books.
What is average?In layman's terms, an average is a single number chosen to represent a set of numbers, usually the sum of the numbers divided by the number of numbers in the set. The average of the numbers 2, 3, 4, 7, and 9 is 5, for example.To find how many books on average each student has:
To find the average, divide the total number of books by the total number of students.So, 14,400/2,400 = 6Therefore, each student on average has 6 books.
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what is the meaning of the algebraic expression 8x
The given algebraic expression 8x ia a one degree polynomial forming the straight line.
What is defined as the polynomials?Polynomials are algebraic expressions with indeterminates and constants in them.
A polynomial is a form of algebraic expression wherein all variable exponents are whole numbers. Variable exponents in any polynomial must be non-negative integers.The degree of a polynomial is the highest as well as greatest exponent of a variable in a polynomial. Utilising Descartes' Rule of Signs, the degree is used to estimate the optimum number of solutions to a polynomial equation.For the given algebraic expression 8x;
As, the highest exponent of the variable part 'x' is 1 that is why the degree of the polynomial is one.
This implies that for every value of x there is a single value of value of functions.
This will form the straight line when graph is plotted for them.
Thus, the given algebraic expression 8x is called the one degree polynomial.
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Pls help me im stuck
The coordinate -8 has a weight of 3 and the coordinate 4 has a weight of 1. Find the weighted average
The weighted average is -5
The formula for the weighted average is
= Σwixi/Σwi (1)
Where wi = are the weights and
xi are the coordinates
We have been given that
w1 = 3 , x1 = -8 and w2 = 1 , x2 = 4
Σwixi = w1x1 + w2x2
= 3*-8 + 1*4
= -24 + 4
= -20
Σwi = w1 + w2
= 3 + 1
= 4
Now putting the required value in equation (1) we get
Weighted average = -20/4
= -5
Hence the weighted average is -5
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1. Use the diagram to the right to name the following
a Four collinear points.
b) A line that contains point M.
c) A line that contains points H and K.
d) Another name for line q.
e) The intersection of lines p and
H I, N, K
MO
NO
J,I, L, K
M OM
M, O, H, N
line
une
KL
Pwease help me :0 Thank u!
Answer:
1/2
Step-by-step explanation:
simply divide 3/10 to get 0.3 and then divide 3/5 to get 0.6 then just divide 0.3 to 0.6 to get 0.5 or 1/2
If p = 2 3 , point b has a weight of 2, and point c has a weight of 4, find the weight of point a.
A fixed point Weight is the ideal weight for our bodies in order to function optimally and feel their best.
What are weighted points?"The set point is established over time," Harrison explains. "It's a complicated thing, but it appears to be your body's attempt to regulate itself, which results in a certain weight."
Even if set point theory is correct, it is possible to lose weight and keep it off. Avoiding fad diets and gradually losing weight may change your set point. It may allow your body to adjust to your new eating habits. You may be more successful if you seek the assistance of a therapist or a dietitian.
A fixed point Weight is the ideal weight for our bodies in order to function optimally and feel their best. It is the weight that our bodies can easily maintain—no micromanaging, counting calories, weighing food, and so on.
The point of weight A has been given in the figure.
The complete question is;
If p = 2/3, point b has a weight of 2, and point C has a weight of 4, find the weight of point A.
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Help please I cant find my answer
Answer:
see explanation
Step-by-step explanation:
1
4(5 + 3n) - 7 ← distribute parenthesis by 4
= 20 + 12n - 7 ← collect like terms
= 12n + 13
2
6 - (10n + 8) ← distribute parenthesis by - 1
= 6 - 10n - 8 ← collect like terms
= - 10n - 2
combining (adding) the 2 expressions
12n + 13 - 10n - 2 ← collect like terms
= 2n + 11
What are mathematical formulas placed in software that performs an analysis on a data set?
Algorithms are mathematical formulas placed in software that performs an analysis on a data set.
What are algorithms?Algorithms are mathematical formulas that are used in software to analyze data sets. An algorithm is a finite sequence of rigorous instructions used to solve a class of specific problems or to perform a computation in mathematics and computer science. Algorithms serve as specifications for calculating and processing data. More sophisticated algorithms can perform automated deductions (also known as automated reasoning) and use mathematical and logical tests to route code execution through different paths (referred to as automated decision-making). Alan Turing pioneered the use of human characteristics as metaphorical descriptors of machines with terms like "memory," "search," and "stimulus."Therefore, algorithms are mathematical formulas placed in software that performs an analysis of a data set.
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A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mode?
The mode is the most common value in a set of data values then the mode of the given set of data is 56.
What is a mode?The mode is the most common value in a set of data values. If X is a discrete random variable, the mode is the x value at which the probability mass function maximizes. In other words, it is the most likely value to be sampled.
The most common number, or the number that appears the most frequently. Example: Since the number 2 occurs three times, more than any other number, it is the mode of the sequence "4, 2, 4, 3, 2, 2."
Let the given data be 39, 41, 44, 50, 54, 56, 56, 56, 61
The mode is the most common value in a set of data values.
Then the mode of the given set of data is 56.
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